To solve the problem, we can use Avogadro's number, which is 6.022 × 10²³. This number represents the number of particles (atoms, molecules, ions) in one mole of a substance.
First, we need to calculate the number of potassium atoms in one mole:
1 mol K = 6.022 × 10²³ atoms K
Then, we can use this conversion factor to calculate the number of potassium atoms in 3.227 × 10¹⁰ mol of potassium:
3.227 × 10¹⁰ mol K × 6.022 × 10²³ atoms K/mol K = 1.942 × 10³⁴ atoms K
Therefore, there are 1.942 × 10³⁴ atoms of potassium in 3.227 × 10¹⁰ mol of potassium.